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Mathematical Sciences Faculty
Our professors have traveled the world studying the things they love most of all. From books on Medieval Arabic Algebra to studies and research at IU Health, our professors use their experiences to support a rich and comprehensive curriculum for the Department of Mathematics.

Dr. Livia Hummel
Chair, Associate Professor
Mathematical Sciences
317-788-3320
hummell@uindy.edu
- Has provided leadership training through local and national math programs and workshops, and is a volunteer math mentor for women
- PhD, Mathematics
Areas of Expertise
commutative algebra
Background
In addition to commutative algebra research, has advised an honors project on the connections of group theory to music. Has also worked with in-service mathematics teachers through the Math in the Middle Program (University of Nebraska-Lincoln) and more locally through the Algebra Readiness: Meet the Challenge summer intensive workshop (Decatur Township). Serves as a volunteer writing for the American Mathematical Society’s Math Reviews, as well as working as a mentor in the Association for Women in Mathematics Mentor Network.
Research Interests
coherent and non-Noetherian ring theory, homological dimensions
Education
- PhD, Mathematics, University of Nebraska-Lincoln
- MS, Mathematics, University of Nebraska-Lincoln
- BA, Mathematics (minor in Spanish), University of Arizona
Fun Fact
As an undergraduate I worked at the University writing center, was a teaching assistant for an entry-level computer science course, and spent two years playing violin in the University orchestra.
Favorite Thing about UIndy
The opportunities I have to get to know my students and help them explore their interests and pursue their goals.

Luanne Benson-Lender
Assistant Professor and Director of the Math Tutoring Lab
Mathematical Sciences
317-791-4423
bensonlenderl@uindy.edu
Area of Expertise
introductory undergraduate math courses
Background
Taught math at a community college for 11 years prior to coming to UIndy including Statistics, Math for Teachers, College Algebra, Intermediate Algebra, and Finite Math. Involved in InMATYC and AMATYC.
Research Interests
math pedagogy
Education
- MA, Indiana University
- BS, Mathematics, University of Evansville
Fun Fact
I had a Pi Day wedding on 3/14/15.
Favorite Thing About UIndy
The strong sense of community on campus here.

Dr. Krystina K. Leganza
Associate Professor
Mathematical Sciences
- Specializes in math pedagogy and gender and mathematics
- PhD, Mathematics
Areas of Expertise
algebra
Research Interests
math pedagogy and gender and mathematics
Education
- PhD, Mathematics, University of Notre Dame
- MS, Mathematics, University of Notre Dame
- BS, Mathematics/Mathematics Education, Miami University
Favorite Thing about UIndy
Working with and getting to know students in and out of the classroom.



Dr. Travis K. Miller
Dean, Shaheen College of Arts & Sciences
Associate Professor
Mathematical Sciences
317-788-6129
tmiller@uindy.edu
- Has published several book chapters and journal articles on the effective use of technology in the mathematical preparation of teachers
- PhD, Curriculum and Instruction
Areas of Expertise
mathematics education
Background
Has served two terms as chair of the national membership committee of the Association of Mathematics Teacher Educators, and also serves as a board member of the Hoosier Association of Mathematics Teacher Educators. Published several book chapters and journal articles on the effective use of technology in the mathematical preparation of teachers. Current research projects examine the impact of clicker use upon students’ conceptual understanding and retention of mathematical ideas, as well as exploring means of promoting academic success in college mathematics courses.
Research Interests
undergraduate mathematical preparation of teachers, best practices for technology integration in mathematics courses for future teachers
Education
- PhD, Curriculum & Instruction, Purdue University
- MS, Applied Mathematics, Purdue University
- BS, Mathematics, University of Indianapolis
Fun Fact
I collect antique board games.
Favorite Thing about UIndy
The collaborative opportunities between faculty and students.

Dr. Quynh-Anh Nguyen
Assistant Professor
Mathematical Sciences
Area of Expertise
Mathematical/Computational Biology, specifically in Neuroscience
Background
I use mathematical models to study how neuronal activities give rise to cognitive functions. During my PhD, I built an accumulation model to explain perceptual alternation in the auditory system. I am now working on the functional implication of intermittent synchronization. Besides doing research, I am enthusiastic about teaching math and introducing a variety of math applications to students.
Research Interests
mathematical model of intermittent synchronization; computational model of perceptual alternation
Education
- PhD, Applied Mathematical and Computational Sciences, The University of Iowa
- M.S., Mathematics, The University of Iowa
- B.S., Applied Mathematics (minor in Computer Science), San José State University
Fun Fact
I have too many hobbies.
Favorite Thing About UIndy
The focus of the university on service-learning.

Background
I have taught Mathematics at Indiana University as a graduate student and at Ivy Tech as an Adjunct.
Education
- MA, Mathematics, Indiana University
- BA, Mathematics, Ball State University
Fun Fact
I have over 50 houseplants.
Favorite Thing About UIndy
The many opportunities UIndy presents its students and faculty.

Dr. Jeffrey A. Oaks
Professor
Mathematical Sciences
- Has published and lectured extensively on medieval Arabic algebra and the mathematics of Greece and medieval Europe
- PhD, Mathematics
Areas of Expertise
history of pre-modern mathematics, differential geometry, history of railroad tie preservation
Background
Has published and lectured extensively on medieval Arabic algebra as well as on the mathematics of Greece and medieval Europe. Recently published the book The Essential Commentary on Ibn al-Banna's Condensed Book on the Operations of Arithmetic (this is an edition of a fourteenth century Arabic mathematics text, co-authored with Mahdi Abdeljaouad, 2013), and articles "Practicing algebra in late antiquity: The problem-solving of Diophantus of Alexandria" (with Jean Christianidis, 2013), and "Algebraic symbolism in medieval Arabic" (2012).
Research Interests
history and philosophy of ancient and medieval algebra, with an eye toward ontology
Education
- PhD, Mathematics, University of Rochester
- MA, Mathematics, University of Rochester
- BA, Mathematics, Hobart College
Fun Fact
I amassed a collection of over 15,000 railroad date nails after walking the tracks in several states and countries.
Favorite Thing about UIndy
The friendliness of the people.

Dr. Clayton Roan
Assistant Professor of Practice
Mathematical Sciences
- MA, Mathematics Education
- PhD, Educational Administration
Areas of Expertise
Mathematics Education, Undergraduate Mathematics Teaching, Educational Administration, Mathematics Curriculum Development
Background
I taught mathematics at Cumberland Middle and High schools for 4 years, at Eastern Illinois University for 12 years, Ball State for 1 year, and am now proud to be a part of the UIndy Community.
Research Interests
Mathematics Curriculum and Instructional Techniques, Educational Administration, College Mathematics Remediation
Education
- PhD, Educational Administration, Indiana State University
- EdS, Educational Administration, Eastern Illinois University
- MA, Mathematics Education, Eastern Illinois University
- BA, Mathematics with Secondary Education, Eastern Illinois University
Fun Fact
Sports and fitness have always been a big part of my life. I was a 3-sport athlete in HS (football, wrestling, and track). I played football in college and for an 8-man semi- pro team. I played rugby for three different men’s clubs in Illinois and went on tour to play in Wales. I’ve coached wrestling at the high school and youth levels in Illinois, and am still involved with the wrestling program in New Palestine, IN.
Favorite Thing about UIndy
The small size makes it easy to get to know your students and other faculty in the math department and across campus.
Professors Emeriti

Dr. Leslie Gardner
Professor Emerita
Mathematical Sciences

Dr. Nadjib Bouzar
Professor Emeritus
Mathematical Sciences